What least number must be subtracted from 2000 to get a number exactly divisible by 17?

### Concept & Logic When asked for the least number to subtract from a given value to make it exactly divisible, the answer is simply the remainder obtained when dividing the given value by the divisor. ### Step-by-Step Solution - **Given:** Dividend = 2000, Divisor = 17. - **Calculation / Deduction:** Perform standard division of 2000 by 17. - $2000 = 17 \times 117 + 11$. - The division yields a remainder of 11. - This remainder is the exact extra amount that prevents 2000 from being a perfect multiple. Removing it gives a perfectly divisible number. ### Exam Strategy & Shortcut For subtraction-based divisibility questions, your calculation stops the moment you find the remainder. The remainder itself is your final answer. Do no further arithmetic. ### Common Pitfall Students sometimes confuse the rules for adding and subtracting. Subtracting the remainder from the divisor ($17 - 11 = 6$) is the rule for finding what to *add*. For subtraction, just use the direct remainder. ### Final Answer Therefore, the correct answer is 11.